Find five numbers in A.P. whose sum is and the ratio of the first to the last term is 2 : 3.

Question

KnowledgeBoat · Accepted Answer

Let the numbers be (a - 2d), (a - d), a, (a + d), (a + 2d). Given, sum = . Given, ratio of the first to the last term is 2 : 3. Numbers = 2.5 - 2 × 0.25, 2.5 - 0.25, 2.5, 2.5 + 0.25, 2.5 + 2 × 0.25 = 2, 2.25, 2.5, 2.75, 3. Hence, the numbers are 2, 2.25, 2.5, 2.75, 3.

Mathematics

Find five numbers in A.P. whose sum is and the ratio of the first to the last term is 2 : 3.

AP

Related Questions

The angles of a quadrilateral are in A.P. with common difference 20°. Find its angles.

Divide 96 into four parts which are in A.P. and the ratio between product of their means to product of their extremes is 15 : 7.

Split 207 into three parts such that these parts are in A.P. and the product of the two smaller parts is 4623.

The sum of three numbers in A.P. is 15 and the sum of the squares of the extreme terms is 58. Find the numbers.